A fireworks shell P fired in a vertical trajectory has acceleration given by ay=-g-k*(v^2). The first term in the relation is weight and the second term is due to drag force. The value of the drag parameter k is constant. At the moment shown in the figure, the velocity of the firework is Vp. Calculate the radius of curvature,  normal, tangential and resultant acceleration values ​​for this moment. First image is the wanted values and second image is the image of question. ( OA=140m, AP= 210m, k=0.025m^(-1), Vp=20m/s ). I have been trying to solve this question for so long but i couldn't figure it out. Please solve this question so i can understand how to solve this kind of questions.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A fireworks shell P fired in a vertical trajectory has acceleration given by ay=-g-k*(v^2). The first term in the relation is weight and the second term is due to drag force. The value of the drag parameter k is constant. At the moment shown in the figure, the velocity of the firework is Vp. Calculate the radius of curvature,  normal, tangential and resultant acceleration values ​​for this moment. First image is the wanted values and second image is the image of question. ( OA=140m, AP= 210m, k=0.025m^(-1), Vp=20m/s ).

I have been trying to solve this question for so long but i couldn't figure it out. Please solve this question so i can understand how to solve this kind of questions.

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